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MATHEMATICS
On a non-separable quantum many-particle system on the half-line
J. Kerner, T. Mühlenbruch Department of Mathematics and Computer Science, FernUniversität in Hagen, 58084 Hagen, Germany
Abstract:
In this paper we will report on a one-dimensional, non-separable quantum many-particle system. It consists of two (distinguishable) particles moving on the half-line $\mathbb{R}_+$ being subjected to two different kinds of two-particle interactions: singular many-particle interactions localized at the origin and a binding-potential leading to a molecular-like state. We will formulate the model precisely, obtaining a well-defined self-adjoint operator (the Hamiltonian for our system) and elaborate on its spectral properties. In addition, we will present possible directions for future research.
Keywords:
singular many-particle interactions, molecule, spectral analysis, quantum graph.
Received: 06.06.2016 Revised: 05.08.2016
Citation:
J. Kerner, T. Mühlenbruch, “On a non-separable quantum many-particle system on the half-line”, Nanosystems: Physics, Chemistry, Mathematics, 8:1 (2017), 20–23
Linking options:
https://www.mathnet.ru/eng/nano3 https://www.mathnet.ru/eng/nano/v8/i1/p20
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Abstract page: | 32 | Full-text PDF : | 11 |
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